Abstract: Under a particular choice of the Ernst potential, we solve analytically theEinstein-Maxwell equations to derive a new exact solution depending on fiveparameters: the mass, the angular-momentum per unit mass, theelectromagnetic-field strength, k, the parameter-p and the Kerr-NUT parameter,l. This Petrov Type D solution is cylindrically-symmetric and represents thecurved background around a charged, rotating cosmic string, surrounded bygravitational and electromagnetic waves, under the influence of the Kerr-NUTparameter. A C-energy study in the radiation zone suggests that both theincoming and the outgoing radiation is gravitational, strongly focused aroundthe null direction and preserving its profile. In this case, the absence of thek-parameter from the C-energy implies that, away from the linear defect theelectromagnetic field is too weak to contribute to the energy-content of thecylindrically-symmetric space-time under consideration. In order to explainthis result, we have evaluated the Weyl and the Maxwell scalars near the axisof the linear defect and at the spatial infinity. Accordingly, we have foundthat the electromagnetic field is concentrated mainly in the vicinity of theaxis, while falling-off prominently at large radial distances. However, as longas k differs from unity, the non-zero Kerr-NUT parameter enhances thosescalars, both near the axis and at the spatial infinity, introducing some sortof gravitomagnetic contribution.